Greatest Common Factor of 9435 and 9440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 9435, 9440 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9435 and 9440 is 5.

GCF(9435,9440) = 5

GCF of 9435 and 9440

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9435 and 9440

GCF of 9435 and 9440 is 5

Prime Factorization of 9435


3 9435
5 3145
17 629
37 37
1

Prime factors of 9435 are 3,5,17,37. Prime factorization of 9435 in exponential form is:

9435 = 31×51×171×371

Prime Factorization of 9440


2 9440
2 4720
2 2360
2 1180
2 590
5 295
59 59
1

Prime factors of 9440 are 2,5,59. Prime factorization of 9440 in exponential form is:

9440 = 25×51×591

∴ So by taking common prime factors GCF of 9435 and 9440 is 5

Greatest Common Factor of 9435 and 9440 by matching factors method

Factors of 9435

List of positive integer factors of 9435 that divides 9435 without a remainder.

1,3,5,15,17,37,51,85,111,185,255,555,629,1887,3145,9435

Factors of 9440

List of positive integer factors of 9440 that divides 9440 without a remainder.

1,2,4,5,8,10,16,20,32,40,59,80,118,160,236,295,472,590,944,1180,1888,2360,4720,9440

Greatest Common Factor

We found the factors and prime factorization of 9435 and 9440. The biggest common factor number is the GCF number.
So the greatest common factor 9435 and 9440 is 5.

Also check out the Least Common Multiple of 9435 and 9440

Properties of GCF 9435 and 9440

(i) The GCF of 9435 and 9440 is associative

GCF of 9435 and 9440 = GCF of 9440 and 9435

Related Greatest Common Factor of 9435

Related Greatest Common Factor of 9440

Frequently Asked Questions on GCF of 9435 and 9440

1. What is the GCF of 9435 and 9440?

Answer: GCF of 9435 and 9440 is 5.

2. What are the Factors of 9435?

Answer: Factors of 9435 are 1, 3, 5, 15, 17, 37, 51, 85, 111, 185, 255, 555, 629, 1887, 3145, 9435. There are 16 integers that are factors of 9435. The greatest factor of 9435 is 9435.

3. What are the Factors of 9440?

Answer: Factors of 9440 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720, 9440. There are 24 integers that are factors of 9440. The greatest factor of 9440 is 9440.

4. How to Find the GCF of 9435 and 9440?

Answer:

Greatest Common Factor of 9435 and 9440 = 5

Step 1: Find the prime factorization of 9435

9435 = 3 x 5 x 17 x 37

Step 2: Find the prime factorization of 9440

9440 = 2 x 2 x 2 x 2 x 2 x 5 x 59

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 9435 and 9440 is 5